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Finding the Fourth Proportional to 157,260.14, 217,013.24 and 85,638.58

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Solution

The fourth proportional to 157,260.14, 217,013.24 and 85,638.58 is: 118,178.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,260.14 : 217,013.24 = 85,638.58 : x
  2. Step 2: Convert to fraction form
    157,260.14/217,013.24 = 85,638.58/x
  3. Step 3: Cross multiply
    157,260.14x = 217,013.24 × 85,638.58
  4. Step 4: Simplify right side
    157,260.14x = 18,584,705,714.80
  5. Step 5: Solve for x
    x = 18,584,705,714.80/157,260.14
  6. Step 6: Final answer
    x = 118,178.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.